48825972 has 162 divisors, whose sum is σ = 149015958. Its totient is φ = 13395456.

The previous prime is 48825971. The next prime is 48825979. The reversal of 48825972 is 27952884.

It can be written as a sum of positive squares in 3 ways, for example, as 10929636 + 37896336 = 3306^2 + 6156^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48825971) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2569779 + ... + 2569797.

Almost surely, 2^48825972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48825972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74507979).

48825972 is an abundant number, since it is smaller than the sum of its proper divisors (100189986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48825972 is a wasteful number, since it uses less digits than its factorization.

48825972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 48825972 is about 6987.5583718492. The cubic root of 48825972 is about 365.4968451143.

The spelling of 48825972 in words is "forty-eight million, eight hundred twenty-five thousand, nine hundred seventy-two".